Question

Efectuați: 16¹⁰ :8¹³ +(9²)¹⁰ : 27¹³​

Answer 1

Răspuns: $\bf \red{\underline{5}}$

Explicație pas cu pas:

$\bf 16^{10}:8^{13}+\big(9^2\big)^{10}:27^{13} =$

$\bf \Big(2^{4}\Big)^{10}:\Big(2^{3}\Big)^{13}+\Big[\Big(3^{2}\Big)^2\Big]^{10}:\Big(3^{3}\Big)^{13} =$

$\bf 2^{4\cdot 10}:2^{3\cdot13}+\Big(3^{2\cdot2}\Big)^{10}:3^{3\cdot13} =$

$\bf 2^{40}:2^{39}+\Big(3^{4}\Big)^{10}:3^{39} =$

$\bf 2^{40-39}+3^{4\cdot 10}:3^{39} =$

$\bf 2^{1}+3^{40}:3^{39} =$

$\bf 2+3^{40-39} =$

$\bf 2+3^1=2+3=\red{\underline{5}}$

==pav38==

Baftă multă !